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What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) , (−2, −4)

Guest Mar 1, 2017
 #1
avatar+87334 
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See the following pic :

 

 

We can divide this into three separate figures

 

Rectangle ABFE  with area  =  B * H  =  5 * 2  = 10 units^2

 

Triangle BCF with  B = 2  H= 2   and area  = (1/2)BH  =  (1/2)2*2  =  2 units^2

 

Triangle ECD  with B= 7   H = 4  and area = (1/2)BH = (1/2)(7)(4)  = (1/2)28 = 14 units^2

 

So.......the total area  = [ 10 + 2 + 14 ] units^2  =  26 units^2

 

 

cool cool cool

CPhill  Mar 1, 2017

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